Skip to main content

Theory and Modern Applications

Table 1 Results for the solution

From: On a highly accurate approximation of the first and pure second derivatives of the Laplace equation in a rectangular parallelpiped

\(\boldsymbol{\frac{1}{h}}\)

\(\boldsymbol{\Vert u-u_{h}\Vert _{\overline{R}^{h}}}\)

\(\boldsymbol{E_{u}^{m}}\)

\(\frac{1}{8}\)

1.3642E − 9

54.95

\(\frac{1}{16}\)

2.4828E − 11

62.64

\(\frac{1}{32}\)

3.9637E − 13

63.14

\(\frac{1}{64}\)

6.2773E − 15

63.77

\(\frac{1}{128}\)

9.8437E − 17

Â